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Tracking Controller Design with Preview Action for a Class of Lipschitz Nonlinear Systems and its Applications

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Abstract

This paper addresses the problem of output tracking control with preview action for a class of Lipschitz nonlinear systems. By adopting a backward difference approach, an augmented error system is successfully constructed that fully utilizes the available future information in the reference signal as well as disturbances. The output tracking control problem with preview action is thereby reduced to a stabilization problem. Then, both the state feedback controller and the static output feedback controller are systematically developed. With the aid of the S-procedure and auxiliary matrix variable approach, sufficient design conditions for the asymptotic stability of the closed-loop system are presented through linear matrix inequality formulation. Based on these criteria, two novel output tracking control laws are derived. Finally, two numerical examples are provided to highlight the effectiveness and superiority of the proposed control methodologies in terms of enhancing the overall tracking performance of the system.

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Acknowledgements

This work was supported by the National Key R&D Program of China (No. 2017YFF0207401) and the Oriented Award Foundation for Science and Technological Innovation, Inner Mongolia Autonomous Region, China (No. 2012).

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Authors and Affiliations

  1. School of Science, Shandong Jianzhu University, Jinan, 250101, China

    Xiao Yu

  2. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Fucheng Liao

  3. School of Computing, Creative Technologies, and Engineering, Leeds Beckett University, Leeds, LS6 3QS, UK

    Jiamei Deng

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  1. Xiao Yu
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  2. Fucheng Liao
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  3. Jiamei Deng
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Correspondence to Fucheng Liao.

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Yu, X., Liao, F. & Deng, J. Tracking Controller Design with Preview Action for a Class of Lipschitz Nonlinear Systems and its Applications. Circuits Syst Signal Process 39, 2922–2947 (2020). https://doi.org/10.1007/s00034-019-01313-9

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